Intermediate Arithmetic for Graded Schools Volume 3

Description

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 edition. Excerpt: ...54, 81, 135 21. 60, 72, 96 12. 8, 12, 16, 20 22. 84, 108, 120 Find the g. c. d. and the 1. c. m. of each of the following: 23. 45, 105, 180 27. 42, 70, 126 24. 36, 132, 192 28. 48, 80, 144 25. 54, 108, 198 29. 66, 132, 220 26. 39, 91,130 30. 60, 135, 180 FRACTIONS 1. Divide 1 into 5 equal parts; into 10 equal parts; into 15 equal parts. 2. What is meant by, -fa, or, of 1? 3. What is meant by? by f ft.? by $ yd.? 4. In 10 there are how many whole units? An integer, or an integral number, is a whole number. 5. How many integral units are there in 5? in 10 ft.? in 5 yd.? in 4 mi.? in #10? 6. If 1 ft. is divided into 12 equal parts, what is each part called? How many twelfths of a foot does it take to equal a foot? A fractional unit is one of the equal parts into which an integral unit has been divided; as, -j, -j, etc. A fraction is one or more fractional units; as,, $, f, -. 7. How many fractional units are there in-j? in-fy? in g? in-? in? in? in If? How many are there in in? inf? in A? in? 8. Observe that the sum of the fractional units of an integral unit equals the integral unit. Thus, lf = l; f=l; 4-1; f = l; H=l. 9. In the fraction, what is 3 called and what does it show? 10. In the fraction, what is 4 called and what does it show? Since the denominator (p. 23) of a fraction shows into how many equal parts the integral unit has been divided, as, tenths, thirds, fourths, it shows the size of the fractional unit. Since the numerator (p. 23) of a fraction shows the number of fractional units taken, as, two thirds,, it names the number of the fractional units. 11. Observe that the unit of measure in 12 yd. is 1 yd.; thus, 12 yd. means 12x1 yd; $8 means 8 x $1. What does 16 acres mean? 6 dozen? 12. Name the different...show more